IP Maths Notes (Lower Sec, Year 1-2): 08) Trigonometry in Right Triangles
In one line
Apply sine, cosine, and tangent to height-distance problems, bearings, and angles of elevation with calculator and non-calculator techniques.
Last updated 30 Nov 2025
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- Start Here
- Learning targets
- 1 Ratio recap
- 2 Exact values and surds
Q: What does IP Maths Notes (Lower Sec, Year 1-2): 08) Trigonometry in Right Triangles cover?
A: Apply sine, cosine, and tangent to height-distance problems, bearings, and angles of elevation with calculator and non-calculator techniques.
Start Here
| Read time | What to take away |
| 1 second | Label opposite, adjacent, and hypotenuse before choosing a trig ratio. |
| 10 seconds | Use sine, cosine, or tangent when the triangle is right-angled. Use inverse trig when the angle is unknown, and always draw elevation, depression, or bearing diagrams first. |
| 100 seconds | Work through the side, angle, drone, and bearing examples to practise translating a word problem into a right triangle before calculating. |
Trigonometry unlocks height and distance tasks across science and geography contexts. Become fluent with ratios, inverse functions, and diagram interpretation.
These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4052 foundations).
Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.
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Learning targets
- Recall primary trigonometric ratios:
